A Three-Dimensional Conservative Coupling Method Between an Inviscid Compressible Flow and a Moving Rigid Solid

Puscas, Maria Adela; Monasse, Laurent

doi:10.1137/140962930

Cited by 5 publications

(20 citation statements)

References 27 publications

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“…The density and pressure in the preshock state are maintained at ρ = 1.4 kg/m 3 and p = 1 Pa, whereas the left boundary is maintained at postshock state. 26 The good agreement between results from present simulations and those in the literature 26,41 underscore the ability of the proposed solver to accurately handle moving bodies in compressible flows with relative ease. 41 The motion of the cylinder, which is considered rigid, is induced by the pressure forces acting on the cylinder, and we neglect the effects of gravity in the present simulations to allow for quantitative comparisons with other studies, 26,41 which make the same assumption.…”

Section: Supersonic Flow With Moving Bodies: Cylinder Lift-offsupporting

confidence: 71%

“…The IB-FV solver, however, holds a significant advantage over conventional FV solvers for moving body problems, both due to the simplicity in mesh generation, as well as the use of a fixed background mesh that does not demand remeshing/deforming meshes. 41 The motion of the cylinder, which is considered rigid, is induced by the pressure forces acting on the cylinder, and we neglect the effects of gravity in the present simulations to allow for quantitative comparisons with other studies, 26,41 which make the same assumption. The channel has dimensions of 1 × 0.2 and is taken as the computational domain.…”

Section: Supersonic Flow With Moving Bodies: Cylinder Lift-offmentioning

confidence: 99%

“…41 The motion of the cylinder, which is considered rigid, is induced by the pressure forces acting on the cylinder, and we neglect the effects of gravity in the present simulations to allow for quantitative comparisons with other studies, 26,41 which make the same assumption. 42 Unfortunately, there is no data available to compare the force histories but the overall agreement of the cylinder trajectory with the computations of Puscas and Monasse 26,41 is an indirect proof that the force histories are quite accurate. The pressure contours at 2 different time instants are shown in Figures 24 and 25, where they are also compared with the numerical results obtained by Shyue.…”

Section: Supersonic Flow With Moving Bodies: Cylinder Lift-offmentioning

confidence: 99%

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A sharp‐interface immersed boundary framework for simulations of high‐speed inviscid compressible flows

Brahmachary

Natarajan

Kulkarni

et al. 2017

Numerical Methods in Fluids

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Summary A new finite‐volume flow solver based on the hybrid Cartesian immersed boundary (IB) framework is developed for the solution of high‐speed inviscid compressible flows. The IB method adopts a sharp‐interface approach, wherein the boundary conditions are enforced on the body geometry itself. A key component of the present solver is a novel reconstruction approach, in conjunction with inverse distance weighting, to compute the solutions in the vicinity of the solid‐fluid interface. We show that proposed reconstruction leads to second‐order spatial accuracy while also ensuring that the discrete conservation errors diminish linearly with grid refinement. Investigations of supersonic and hypersonic inviscid flows over different geometries are carried out for an extensive validation of the proposed flow solver. Studies on cylinder lift‐off and shape optimisation in supersonic flows further demonstrate the efficacy of the flow solver for computations with moving and shape‐changing geometries. These studies conclusively highlight the capability of the proposed IB methodology as a promising alternative for robust and accurate computations of compressible fluid flows on nonconformal Cartesian meshes.

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Section: Supersonic Flow With Moving Bodies: Cylinder Lift-offsupporting

confidence: 71%

Section: Supersonic Flow With Moving Bodies: Cylinder Lift-offmentioning

confidence: 99%

Section: Supersonic Flow With Moving Bodies: Cylinder Lift-offmentioning

confidence: 99%

See 1 more Smart Citation

A sharp‐interface immersed boundary framework for simulations of high‐speed inviscid compressible flows

Brahmachary

Natarajan

Kulkarni

et al. 2017

Numerical Methods in Fluids

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“…In a cut cell

C_{i, j, k} ((), 0 < {normalΛ}_{i, j, k}^{n + 1} < 1)

of size (Δ x i , j , k , Δ y i , j , k , Δ z i , j , k ), we consider the following approximation of :

((), 1 - {normalΛ}_{i, j, k}^{n + 1}) U_{i, j, k}^{n + 1} = ((), 1 - {normalΛ}_{i, j, k}^{n + 1}) U_{i, j, k}^{n} + normalΔt {normalΦ}_{i, j, k, fluid}^{n} + normalΔt {normalΦ}_{i, j, k, solid}^{n} + normalΔ U_{i, j, k}^{n, n + 1},

where

U_{i, j, k}^{n}

is the numerical approximation of the exact solution over the cell C i , j , k at time t n , and the fluid net flux

{normalΦ}_{i, j, k, fluid}^{n}

is given by (see for details)

\begin{matrix} Φ_{i, j, k, fluid}^{n} = & (1 - λ_{i - \frac{1}{2}, j, k}^{n + 1}) F_{i - \frac{1}{2}, j, k}^{n} - (1 - λ_{i + \frac{1}{2}, j, k}^{n + 1}) F_{i} \end{matrix}

…”

Section: Coupling Without Fragmentationmentioning

confidence: 99%

“…Near the solid, the states needed to calculate the fluid fluxes may be located in cells completely occupied by the solid (solid cells, Λ=1). In this situation, we define in these solid cells a fictitious state from the states associated with the mirror cells relatively to the fluid‐solid interface (see ).…”

Section: Coupling Without Fragmentationmentioning

confidence: 99%

A conservative embedded boundary method for an inviscid compressible flow coupled with a fragmenting structure

Puscas

Monasse

Ern

et al. 2015

Numerical Meth Engineering

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Summary We present an embedded boundary method for the interaction between an inviscid compressible flow and a fragmenting structure. The fluid is discretized using a finite volume method combining Lax–Friedrichs fluxes near the opening fractures, where the density and pressure can be very low, with high‐order monotonicity‐preserving fluxes elsewhere. The fragmenting structure is discretized using a discrete element method based on particles, and fragmentation results from breaking the links between particles. The fluid‐solid coupling is achieved by an embedded boundary method using a cut‐cell finite volume method that ensures exact conservation of mass, momentum, and energy in the fluid. A time explicit approach is used for the computation of the energy and momentum transfer between the solid and the fluid. The embedded boundary method ensures that the exchange of fluid and solid momentum and energy is balanced. Numerical results are presented for two‐dimensional and three‐dimensional fragmenting structures interacting with shocked flows. Copyright © 2015 John Wiley & Sons, Ltd.

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Accelerated Piston Problem and High Order Moving Boundary Tracking Method for Compressible Fluid Flows

Du¹,

Li²

2020

SIAM J. Sci. Comput.

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A Three-Dimensional Conservative Coupling Method Between an Inviscid Compressible Flow and a Moving Rigid Solid

Cited by 5 publications

References 27 publications

A sharp‐interface immersed boundary framework for simulations of high‐speed inviscid compressible flows

A sharp‐interface immersed boundary framework for simulations of high‐speed inviscid compressible flows

A conservative embedded boundary method for an inviscid compressible flow coupled with a fragmenting structure

Accelerated Piston Problem and High Order Moving Boundary Tracking Method for Compressible Fluid Flows

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